Search a number
-
+
200303132212032 = 26343101240213097
BaseRepresentation
bin101101100010110010110101…
…000010101111101101000000
3222021012210101200100221110120
4231202302311002233231000
5202223231303321241112
61550001553312500240
760122265225515523
oct5542626502575500
9867183350327416
10200303132212032
1158906099272933
121a57010984a680
13879c672cb3595
143766a1ab46bba
15182552670ae8c
hexb62cb50afb40

200303132212032 has 112 divisors (see below), whose sum is σ = 547662802982592. Its totient is φ = 64569280204800.

The previous prime is 200303132211971. The next prime is 200303132212067. The reversal of 200303132212032 is 230212231303002.

200303132212032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200303132211993 and 200303132212011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119272693 + ... + 120940404.

Almost surely, 2200303132212032 is an apocalyptic number.

It is an amenable number.

200303132212032 is an abundant number, since it is smaller than the sum of its proper divisors (347359670770560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200303132212032 is a wasteful number, since it uses less digits than its factorization.

200303132212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240213256 (or 240213246 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 200303132212032 its reverse (230212231303002), we get a palindrome (430515363515034).

The spelling of 200303132212032 in words is "two hundred trillion, three hundred three billion, one hundred thirty-two million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 101 129 172 192 202 258 303 344 404 516 606 688 808 1032 1212 1376 1616 2064 2424 2752 3232 4128 4343 4848 6464 8256 8686 9696 13029 17372 19392 26058 34744 52116 69488 104232 138976 208464 277952 416928 833856 240213097 480426194 720639291 960852388 1441278582 1921704776 2882557164 3843409552 5765114328 7686819104 10329163171 11530228656 15373638208 20658326342 23060457312 24261522797 30987489513 41316652684 46120914624 48523045594 61974979026 72784568391 82633305368 97046091188 123949958052 145569136782 165266610736 194092182376 247899916104 291138273564 330533221472 388184364752 495799832208 582276547128 661066442944 776368729504 991599664416 1043245480271 1164553094256 1552737459008 1983199328832 2086490960542 2329106188512 3129736440813 4172981921084 4658212377024 6259472881626 8345963842168 12518945763252 16691927684336 25037891526504 33383855368672 50075783053008 66767710737344 100151566106016 200303132212032